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# Weinberger's problem using LP

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The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aeorspace firms that hold NASA contracts. each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit producted and its corresponding profit value are summarized int he following table:
Product: XJ201= Wiring: 0.5, Drilling: 0.3, Assembly: 0.2, Inspection: 0.5, Unit Profit (\$): 9
Product: XM897= Wiring: 1.5, Drilling: 1, Assembly: 4, Inspection: 1, Unit Profit (\$): 12
Product: TR29= Wiring: 1.5, Drilling: 2, Assembly: 1, Inspection: 0.5, Unit Profit (\$): 15
Product: BR788= Wiring: 1, Drilling: 3, Assembly: 2, Inspection: 0.5, Unit Profit (\$): 11.
The production available in each department each month, and the minimum monthly production requirement to fulfill contracts, are as follows:

Wiring: Capacity hours= 15,000 Drilling: Capacity hours= 17,000
Assembly: Capacity hours= 26,000 Inspection: Capacity hours= 12,000

XJ201= Minimum Production Level = 150, XM897 = Minimum Production Level = 100, TR29= Minimum Production Level = 300, BR788= Minimum Production Level = 400.

the production manager has the responsibility of specifying production levels for each product for the coming month. Help him by formulating (that is, setting up the constraints and objective function) Weinberger's problem using LP.

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#### Solution Preview

See the attached file. Thanks

Weinberger Electronics Corporation - Linear Programming Model

"The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aeorspace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit producted and its corresponding profit value are summarized int he following table:
Product: XJ201= Wiring: 0.5, Drilling: 0.3, Assembly: 0.2, Inspection: 0.5, Unit Profit (\$): 9
Product: XM897= Wiring: 1.5, Drilling: 1, Assembly: 4, Inspection: 1, Unit Profit (\$): 12
Product: TR29= Wiring: 1.5, Drilling: 2, Assembly: 1, Inspection: 0.5, Unit Profit (\$): 15
Product: BR788= Wiring: 1, Drilling: 3, Assembly: 2, Inspection: 0.5, Unit Profit (\$): 11.
The production available in each department each month, and the minimum monthly production requirement to fulfill contracts, are as follows:

Wiring: Capacity hours= 15,000 ...

#### Solution Summary

Weinberger's problem for using LP is examined.

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## Linear Programming for Weinberger Electronics

The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit produced and its corresponding profit value are summarized in the following table:

Department
Product Wiring Drilling Assembly InspectionUnit Profits
XJ201 .5 .3 .2 .5 9
XM897 1.5 1 4 1 12
TR29 1.5 2 1 .5 15
BR788 1 3 2 .5 11

The production available in each department each month, and the minimum monthly production requirement to fulfill the contracts, are as follows:

Department Capacity Hours Product Minimum Production Level
Wiring 15,000 XJ201 150
Drilling 17,000 XM897 100
Assembly 26,000 TR29 300
Inspection 12,000 BR788 400

The production manager has the responsibility of specifying production levels for each product for the coming month. Formulate Weinberger's problem using the computer LP approach.

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